Least Common Multiple of 407/38, 525/8374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/38, 525/8374 quickly i.e. 213675/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/38, 525/8374 is 213675/2.

LCM(407/38, 525/8374) = 213675/2

LCM of 407/38, 525/8374

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 407/38,525/8374

Given numbers are 407/38,525/8374

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 407,525

Least Common Multiple of Numerators i.e. LCM of 407,525 is 213675.

GCF of Denominators means GCF of 38,8374 as per the given fractions.

GCF of 38,8374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,525

LCM of Fractions 407/38,525/8374 is 213675/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 213675

Least Common Multiple of 407,525 with GCF Formula

Least Common Multiple of 407,525 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 407,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,525) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(407,525) x common factors =1 x 1 = 1

LCM(407,525) = ( 407 × 525 ) / 1

LCM(407,525) = 213675 / 1

LCM(407,525) = 213675


Lets's calculate GCF of 38,8374

2 38, 8374
19, 4187

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213675/2

Therefore the LCM of Fractions 407/38,525/8374 is 213675/2

Greatest Common Factor of 38,8374 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,8374 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1,2,53,79,106,158,4187,8374

Greatest Common Factor

We found the factors 38,8374 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8374 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 407/38, 525/8374

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 407/38, 525/8374?

Answer: LCM of Numerators as per given numbers 407/38, 525/8374 is

LCM of Numerators i.e. for 407,525 is 213675

GCF of denominators i.e. for 38,8374 is 2.

Thus, LCM of Fractions is 213675/2.Finally, LCM of Fractions for 407/38, 525/8374 is 213675/2.